Cheater slick

The way open carriers work is power goes to the side that has the least amount of traction. On a smooth dry road the least amount of traction is influenced by the torque of the motor twisting the body and raising the L rear and pushing down on the R rear. That is why typically the L rear spins. I believe that if you improve the grip on the side where the power is, the wheel that spins, you will simply send the power to the other side and that wheel will spin.
If the 3:91 is part of an 8.25 or a 8.75 you have a head start on a great differential. May be time to figure a way to fix the issue the once and for all by getting and installing a good sure grip. Check out what Dr Diff has to offer at his web site, he can also be a great tech aid on the change over process. Folks here at FABO are also a good source for tech help.